Q$1$: By using one decoder, design and build a circuit for the following functions. $(1\mathrm{.}5$ marks$)$

$F1(x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(1,3,5)$

$F2(x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(0,4,5,7)$

Q$2$: Drive the state table of the sequential circuit shown below.

$(1\mathrm{.}5$ marks$)$

$\backslash$table$[[\backslash$table$[[$Present$],[$State$]],$Next State,$\backslash$table$[[$Flip Flop$],[$equation$]]],[A,B,A(t+1),B(t+1),T_A,T_B$